If you mean:
you come up with:
Thus, where are arbitrary.
Hello everyone. I just don't get this . This seems very basic but I have problems to find a answer to this. I know augmented matrices and gaussian elimination.
Ok once again Ax = b
Okay I get the augmented matrix form. But how can I do this "backwards"
A is 2x2 matrix , and
b = Null vector
if A was [a,b;c,d] then I came up with 3c + 3d = 0 and then set c =1 ,d=-1
This didn't function
At the moment I am incapable of coming up with a matrix which certain vectors are in the kernel or image. I can't make a matrix which needs to have certain solutions.
Exactly what I meant.
. You got this by the multiplication * which should result in the 2x1 matrix
To solve those backwards , I take a*b and then rref it? Ok and that would then be your augmented matrix where for example 3b= say 4 if that was what I'd want
Ok I think I got this, thank you.